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Paladinen [302]
3 years ago
10

Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area

of the polygon. Be sure to show all your work and explain your answer.
Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.

Mathematics
2 answers:
Roman55 [17]3 years ago
4 0
<span>Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet,
triangle1 area= height * base /2
</span>triangle1 area= 25* 25/2= 312.5
<span>
the other height and base of 8 feet,
</span>triangle2 area= height * base /2
triangle2 area= 8* 8/2= 32
<span>
and one rectangle measuring 35 feet by 8 feet
</span>rectangle area= height * base 
rectangle area= 35* 8= 280

Total area= triangle1 area + triangle2 area + rectangle area= 312.5+ 32+280= 624.5
SCORPION-xisa [38]3 years ago
4 0

Hello,

The correct answer is 624.5

Hope this helps!!!! Happy Holidays!!!! (:

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3 years ago
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown
kiruha [24]

Answer:

The other endpoint is (-33, 17)

Step-by-step explanation:

The rule of the mid-point of a segment whose endpoints are

(x_{1}, y_{1}) and (x_{2}, y_{2}) is

  • (x_{M},y_{M})  = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

In our question

∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)

∴ x_{1} = -15 and x_{2} = x

∴ y_{1} = 13 and y_{2} = y

∵ The coordinates of the mid-point of this segment are (-24, 15)

∴ x_{M} = -24 and y_{M} = 15

→ Use the rule of the mid-point to find x and y

∵ -24=\frac{-15+x}{2}

→ Multiply both sides by 2

∴ -48 = -15 + x

→ Add 15 to both sides

∴ -33 = x

∵ 15=\frac{13+y}{2}

→ Multiply both sides by 2

∴ 30 = 13 + y

→ Subtract 13 from both sides

∴ 17 = y

∴ The other endpoint is (-33, 17)

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Read 2 more answers
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erica [24]

Answer:

longer leg is 30 inches

Step-by-step explanation:

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